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math.CA2021★ 2 cited
On a General Method for Resolving Integrals of Multiple Spherical Bessel Functions Against Power Laws into Distributions
Kiersten Meigs, Zachary Slepian
We here present a method of performing integrals of products of spherical Bessel functions (SBFs) weighted by a power-law. Our method, which begins with double-SBF integrals, explo…
math.CA2021★ 7 cited
An Exact Integral-to-Sum Relation for Products of Bessel Functions
Oliver H. E. Philcox, Zachary Slepian
A useful identity relating the infinite sum of two Bessel functions to their infinite integral was discovered in Dominici et al. (2012). Here, we extend this result to products of…